Home / 20,853.36-31,284.72-7,002

Finding the Fourth Proportional to 20,853.36, 31,284.72 and 7,002

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Solution

The fourth proportional to 20,853.36, 31,284.72 and 7,002 is: 10,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.36 : 31,284.72 = 7,002 : x
  2. Step 2: Convert to fraction form
    20,853.36/31,284.72 = 7,002/x
  3. Step 3: Cross multiply
    20,853.36x = 31,284.72 × 7,002
  4. Step 4: Simplify right side
    20,853.36x = 219,055,609.44
  5. Step 5: Solve for x
    x = 219,055,609.44/20,853.36
  6. Step 6: Final answer
    x = 10,504.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.